A note on relative oscillation theory for symplectic difference systems with general boundary conditions

DOI10.1016/j.aml.2012.02.024zbMath1250.39010OpenAlexW2090080025MaRDI QIDQ712609

Julia V. Elyseeva

Publication date: 17 October 2012

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2012.02.024

zbMATH Keywords

comparative indexsymplectic difference systemdiscrete eigenvalue problemrelative oscillation theory

Mathematics Subject Classification ID

General spectral theory of ordinary differential operators (34L05) Discrete version of topics in analysis (39A12) Oscillation theory for difference equations (39A21)

Related Items

Limit point and limit circle classification for symplectic systems on time scales, Relative oscillation theory for matrix Sturm-Liouville difference equations extended, Comparison Theorems for Weighted Focal Points of Conjoined Bases of Hamiltonian Difference Systems, Renormalized oscillation theory for symplectic eigenvalue problems with nonlinear dependence on the spectral parameter, Discrete oscillation theorems for symplectic eigenvalue problems with general boundary conditions depending nonlinearly on spectral parameter, Comparison theorems for conjoined bases of linear Hamiltonian differential systems and the comparative index, Discrete oscillation theorems and weighted focal points for Hamiltonian difference systems with nonlinear dependence on a spectral parameter

Cites Work

• Comparison theorems for symplectic systems of difference equations
• Relative oscillation theory, weighted zeros of the Wronskian, and the spectral shift function
• Comparative index for solutions of symplectic difference systems
• On relative oscillation theory for symplectic eigenvalue problems
• Disconjugacy and transformations for symplectic systems
• An oscillation theorem for discrete eigenvalue problems
• Oscillation theory and renormalized oscillation theory for Jacobi operators
• Oscillation and spectral theory for symplectic difference systems with separated boundary conditions
• Transformations and the number of focal points for conjoined bases of symplectic difference systems
• Discrete Oscillation
• Oscillation theorems for symplectic difference systems
• Relative Oscillation Theory for Jacobi Matrices
• Unnamed Item